seminar on. biofluid mechanicspptx
DESCRIPTION
a ready made presentation of the most important aspects of biofluid mechanics.TRANSCRIPT
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Seminar on
Bio-Fluid Mechanics
Submitted by SupervisorRituparn Singh Dr. Varun Goel14M306 MED
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Contents
1. What is bio-fluid mechanics?2. Air flow in lungs3. Blood Rheology4. Flow in Heart5. Flow in Arteries
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The Circulation System
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Air flow in Lungs
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Air flow in Lungs
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Blood Rheology
1. Shear models of blood• Bingham• Casson (linear)• Casson (non-linear)• Herschel-Bulkeley
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Blood Rheology
2. Blood viscosity models-• Maxwell • Oldroy-B
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Fåhræus–Lindqvist effect
region near the wall
1p d dvr
L r dr dr
μc , vc
μp , vp
R
4
411 (1 / ) (1 / )
8 p cp
R pQ R
L
the volume flow
Cell-free marginal layer model
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Flow in Heart
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Flow in Arteries
• Macrovessels
• Microvessels
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Pulsatile Flow
• a flow with periodic variations is known as pulsatile flow
• Womersley number
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Wommersley equations• The equation for the motion of a viscous liquid in a cylindrical tube (general form):
• Arterial pulse = periodic function the sum of harmonics
• The solution:
– J0(xi3/2) is a Bessel function of the first kind of order zero and complex argument– y=r/R
2
2
1 1w w p w
r r r z t
3/ 220
2 3/ 20
( )*1
( )i tJ yiA R
w ei J i
The flow velocity pulse and the arterial pressure pulse (femoral artery of a dog).
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Heavy physical Mild physical Sedentary work Sleep
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THANK YOU